What you described with your wife is not faith. It is theory. Your hypothesis is - My wife is cheating on me. (I am avoiding a negative hypothesis here, but for this example I could let it rephrase). You conduct research via observation. I don't smell any male cologne, there aren't any rubbers in the trash, she isn't sneaking out, etc... Conclusion: hypothesis rejected. Repeatable and falsifiable.
Both faith and observation have no bearing on what objective truth is, which in this case, is that water molecules are made up of two hydrogen atoms and one oxygen atom.
Is this some type of Eastern religion, Depak Chopra position? You lost me. Are you telling me that this apple that I hold in my hand is just my opinion on the position that an apple is in my hand?
What I'm saying is faith can be present without observation, but it can't be present in conflict with that observation without being ignorance. As for my comment about objective truth, I'm saying that your opinion on the apple in your hand doesn't matter. If there is an apple in your hand, but you and everyone around you observes that there is not an apple in your hand, then you still have one in your hand. In other words, just because scientists don't observe God doesn't mean he isn't there. It only means their observations haven't revealed him. Assuming that God can operate outside the laws of science, they most likely never will observe him either, at least not in this life.